There are only 40 seats available in BHU MSc Stat. two yrs course , and eligibility is graduation with statistics with minimum 50%.

There are 120 questions for 360 marks. Scoring 190+ will be enough to get admission.

The syllabus for entrance exam is as under:-

Probability

• Conditional Probability
• Unconditional Probability
• Approaches to probability - Classical approach to probability, Relative frequency approach to probability, Richard Von Mises approach to probability, Cramer and Kolmogorov’s approach to probability
• Sample Space - Discrete sample space, Continuous sample space
• Event - Operation of Event, Independent Events, Mutually Exclusive Events
• Random Experiment
• Trial
• Bayes's theorem and its application
• Random Variables
• Moment generating functions
• Probability generating functions
• Chesbyshev’s inequality and its application

Distributions

• Uniform Distribution
• Binomial Distribution
• Poisson distribution
• Geometric Distribution
• Hyper-geometric Distribution
• Continuous univariate distributions
• Normal Distribution
• Exponential Distribution
• Gamma and Beta Distribution

Types of Data

• Qualitative and quantitative Data
• Discrete and Continuous data
• Primary and Secondary data
• Presentation of Data
• Construction
• Diagrammatic
• Graphical representation
• Bar diagram
• Ogive diagram
• Histogram
• Frequency Polygon
• Measures of central tendency
• Dispersion
• Relative Dispersion
• Absolute Dispersion
• Bivariate Data
• Scatter diagram
• Correlation coefficient
• Rank correlation
• Spearman’s and Kendall’s measures
• Multivariate Data
• Multiple correlations in three variables
• Partial correlation in three variables
• Regression lines
• Regression coefficient
• Principal of least squares
• Analysis of Categorical Data

Sampling

• Random sample
• Point estimate of a parameter
• Concept of bias and standard error of an estimate
• Tests of significance based on Chi- square
• Testing for the mean and variance of Univarite
• Sample tests
• Use of central limit theorem for testing and interval estimation
• Fisher’s Z transformation
• Non- Parametric tests
• Wilcoxon- Mann- Whitney test
• Run- test
• Median- test

Sample Surveys

• Concept of population and sampling
• Census and sample survey
• Sample selection
• Sample size
• Non-Sampling error
• Simple random sampling
• Stratified random sampling
• Systematic sampling

Linear programming

• Elementary theory of convex sets
• General linear programming problems (LPP)
• Graphical and simplex method of solving LPP
• Transportation Problems
• Assignment problems

Introduction to computers

• Basic set of an electronic computer
• CPU
• Input devices
• Output devices
• Need of computers in statistics
• Binary number system
• Machine
• Language
• Basic commands to operate a computer
• Ms- Office Tools

Demographic Methods

• Sources of demographic data
• Measurement of mortality
• Measurement of fertility
• Economic statistics
• Index number
• Simple aggregative methods
• Weighted average methods
• Lasperey’s, Passche’s and Fisher’s index numbers

Time series Analysis

• Economic time series
• General theory of control charts
• Process control chars for variables (X, R and S Charts)
• Control chart for attributes (np, p and c charts)
• Hypothesis
• Statistical hypothesis
• Simple and composite hypothesis
• Statistical hypothesis
• Null and alternative hypothesis
• Parameter models
• Parameter space
• Point Estimation
• Interval estimation
• Concepts of confidence interval and confidence coefficient.